Indirect Proof

Front

What is an indirect proof?

Back

A proof that assumes the opposite of what you want to prove, leading to a contradiction.

Front

What is the first assumption made in an indirect proof of ∆ABC≅∆DEF?

Back

Assume ∆ABC≇∆DEF.

Tags

CCSS.HSG.SRT.B.5

Front

What is a contradiction in the context of proofs?

Back

A statement that opposes or negates another statement, showing that the original assumption is false.

Front

What does it mean if two angles are congruent?

Back

If ∠A ≅ ∠B, then m∠A = m∠B (they have the same measure).

Tags

CCSS.8.G.A.2

Front

What is the definition of congruence in geometry?

Back

Two figures are congruent if they have the same shape and size.

Tags

CCSS.8.G.A.2

Front

What is the purpose of an indirect proof?

Back

To demonstrate that a statement is true by showing that assuming the opposite leads to a contradiction.

Front

What is the difference between direct proof and indirect proof?

Back

Direct proof shows that a statement is true through logical reasoning, while indirect proof shows that assuming the statement is false leads to a contradiction.

Front

What is the term for proof by contradiction?

Back

Indirect Proof.

Front

If XY≅RT, what is a contradiction of this statement?

Back

XY<RT.

Tags

CCSS.HSG.SRT.B.5

Front

What is the transitive property in geometry?

Back

If a=b and b=c, then a=c.

Tags

CCSS.HSG.SRT.B.5